Finding the Fourth Proportional to 11,665.38, 17,498.01 and 3,872.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.38 : 17,498.01 = 3,872.34 : x
2. Step 2: Convert to fraction form
   11,665.38/17,498.01 = 3,872.34/x
3. Step 3: Cross multiply
   11,665.38x = 17,498.01 × 3,872.34
4. Step 4: Simplify right side
   11,665.38x = 67,758,244.04
5. Step 5: Solve for x
   x = 67,758,244.04/11,665.38
6. Step 6: Final answer
   x = 5,808.49